Construct rhombus

Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm

Result

a =  0 cm

Solution:

1.AC,∣AC∣=8 cm 2.S;S∈AC,∣SA∣=∣SC∣ 3.p;p⊥AC,S∈p 4.k;k(S,r=1.5 cm) 5.S1;S1∈AS,∣SS1∣=∣AS1∣ 6.S2;S2∈SC,∣SS1∣=∣CS1∣ 7.t1;t1(S1,r=∣AS∣) 8.t2;t2(S2,r=∣CS∣) 9.T1,2;T1,2=t1∩k 9.T3,4;T3,4=t2∩k 10.AT1;AT2;CT3;CT4 11.B=AT1∩CT3 12.D=AT2∩CT4 13.ABCD  a=0 cm1. AC, |AC|=8 \ cm \ \\ 2. S; S \in AC, |SA|=|SC| \ \\ 3. p; p \perp AC ,S \in p \ \\ 4. k; k(S,r=1.5 \ cm) \ \\ 5. S_{ 1 }; S_{ 1 } \in AS, |SS_{ 1 }|=|AS_{ 1 }| \ \\ 6. S_{ 2 }; S_{ 2 } \in SC, |SS_{ 1 }|=|CS_{ 1 }| \ \\ 7. t_{ 1 }; t_{ 1 }(S_{ 1 },r=|AS|) \ \\ 8. t_{ 2 }; t_{ 2 }(S_{ 2 },r=|CS|) \ \\ 9. T_{ 1 },2; T_{ 1 },2=t_{ 1 } \cap k \ \\ 9. T_{ 3 },4; T_{ 3 },4=t_{ 2 } \cap k \ \\ 10. AT_{ 1 }; AT_{ 2 }; CT_{ 3 }; CT_{ 4 } \ \\ 11. B=AT_{ 1 } \cap CT_{ 3 } \ \\ 12. D=AT_{ 2 } \cap CT_{ 4 } \ \\ 13. ABCD \ \\ \ \\ a=0 \ \text{cm}

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
See also our right triangle calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Rhombus construction
    rhombus_7 Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it touching all sides...
  2. Circle tangent
    thales_3 It is given to a circle with the center S and radius 3.5 cm. Distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p.
  3. Tangents construct
    tecna Circle is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has with a line p angle 60°. How many solutions has the task?
  4. Ruler and compass
    triangle_bac Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°.
  5. Regular octagon
    220px-N_uholnik Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S '): ABCDEFGH - A'B'C'D'E'F'G'H'.
  6. Parallels and one secant
    lines_parallel_crossing There are two different parallel lines a, b and a line c that intersect the two parallel lines. Draw a circle that touches all lines at the same time.
  7. Right triangle
    thales_2 Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC.
  8. Semicircle
    tales-de-mileto In the semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC?
  9. 10 pieces
    circle_div How to divide the circle into 10 parts (geometrically)?
  10. Thales
    circles_1 Calculate the length of the Thales' circle described to right triangle with hypotenuse 18.4 cm.
  11. Ace
    esicko The length of segment AB is 24 cm and the point M and N divided it into thirds. Calculate the circumference and area of this shape.
  12. Common chord
    chord2 Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles?
  13. Circular lawn
    circular_flowerbed_1 Around a circular lawn area is 2 m wide sidewalk. The outer edge of the sidewalk is curb whose width is 2 m. Curbstone and the inner side of the sidewalk together form a concentric circles. Calculate the area of the circular lawn and the result round to 1
  14. OK circle
    circles2 Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 33 and one cathetus long 17.
  15. Slope
    slope_1 Find the slope of the line: x=t and y=1+t.
  16. Height
    thales_law Is right that in any right triangle height is less or equal half of the hypotenuse?
  17. Liters od milk
    milk_cylinder The cylinder-shaped container contains 80 liters of milk. Milk level is 45 cm. How much milk will in the container, if level raise to height 72 cm?